Converting 30.6312 to a Fraction
Step-by-step explanation of how to convert 30.6312 to a fraction

Result

30.6312 =
38289
1250
Mixed number:
30
789
1250

Step 1: Identify the number of decimal places

The decimal 30.6312 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.6312 × 10000 = 306312

Step 3: Write as a fraction

30.6312 =

306312
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 306312 and 10000.

GCD(306312, 10000) = 8

Divide both the numerator and denominator by the GCD:

306312
10000

=

306312 ÷ 8
10000 ÷ 8

=

38289
1250
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